Least Common Multiple of 3307 and 3312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3307 and 3312 the smallest integer that is 10952784 that is divisible by both numbers.

Least Common Multiple (LCM) of 3307 and 3312 is 10952784.

LCM(3307,3312) = 10952784

LCM of 3307 and 3312

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3307 and 3312

LCM of 3307 and 3312 is 10952784

Least common multiple can be found by multiplying the highest exponent prime factors of 3307 and 3312. First we will calculate the prime factors of 3307 and 3312.

Prime Factorization of 3307


3307 3307
1

Prime factors of 3307 are 3307. Prime factorization of 3307 in exponential form is:

3307 = 33071

Prime Factorization of 3312


2 3312
2 1656
2 828
2 414
3 207
3 69
23 23
1

Prime factors of 3312 are 2, 3,23. Prime factorization of 3312 in exponential form is:

3312 = 24×32×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3307 and 3312.

LCM(3307,3312) = 24×32×231×33071
LCM(3307,3312) = 10952784

Factors of 3307

List of positive integer factors of 3307 that divides 3307 without a remainder.

1, 3307

Factors of 3312

List of positive integer factors of 3312 that divides 3312 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656, 3312

Least Common Multiple of 3307 and 3312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3307 and 3312, than apply into the LCM equation.

GCF(3307,3312) = 1
LCM(3307,3312) = ( 3307 × 3312) / 1
LCM(3307,3312) = 10952784 / 1
LCM(3307,3312) = 10952784

Properties of LCM 3307 and 3312

(i) The LCM of 3312 and 3307 is associative

LCM of 3307 and 3312 = LCM of 3312 and 3307

Related Least Common Multiples of 3307

Related Least Common Multiples of 3312

Frequently Asked Questions on LCM of 3307 and 3312

1. What is the LCM of 3307 and 3312?

Answer: LCM of 3307 and 3312 is 10952784.

2. What are the Factors of 3307?

Answer: Factors of 3307 are 1, 3307. There are 2 integers that are factors of 3307. The greatest factor of 3307 is 3307.

3. What are the Factors of 3312?

Answer: Factors of 3312 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656, 3312. There are 30 integers that are factors of 3312. The greatest factor of 3312 is 3312.

4. How to Find the LCM of 3307 and 3312?

Answer:

Least Common Multiple of 3307 and 3312 = 10952784

Step 1: Find the prime factorization of 3307

3307 = 3307

Step 2: Find the prime factorization of 3312

3312 = 2 x 2 x 2 x 2 x 3 x 3 x 23

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 10952784 = 2 x 2 x 2 x 2 x 3 x 3 x 23 x 3307

Step 4: Therefore, the least common multiple of 3307 and 3312 is 10952784.